What is the 3153rd prime number?
The 3153rd prime number is 28979. The next prime is 29009 (a gap of 30) and the one before is 28961.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3153rd one is 28979.
- 2
28979 is prime because no prime up to ā28979 ā 170.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3153rd prime is close to 3153 Ć ln(3153) ā 25401, and here it is 28979.
- 4
28979 has no twin: neither 28977 nor 28981 is prime.
Primes around the 3153rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3150 | 28933 | 6 |
| 3151 | 28949 | 16 |
| 3152 | 28961 | 12 |
| 3153 | 28979 | 18 |
| 3154 | 29009 | 30 |
| 3155 | 29017 | 8 |
| 3156 | 29021 | 4 |
Questions
What is the 3153rd prime number?
28979.
Which prime number is 28979?
28979 is the 3153rd prime number.
What is the sum of the first 3153 primes?
42,964,490.